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Finding the Third Proportional to 724,762.69 and 1,642,983.75

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Solution

The third proportional to 724,762.69 and 1,642,983.75 is: 3,724,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,762.69 : 1,642,983.75 = 1,642,983.75 : x
  2. Step 2: Convert to fraction form
    724,762.69/1,642,983.75 = 1,642,983.75/x
  3. Step 3: Cross multiply
    724,762.69x = 1,642,983.75 × 1,642,983.75
  4. Step 4: Simplify right side
    724,762.69x = 2,699,395,602,764.06
  5. Step 5: Solve for x
    x = 2,699,395,602,764.06/724,762.69
  6. Step 6: Final answer
    x = 3,724,523.42

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.